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math.RT2013
Chromatic polynomials of graphs from Kac-Moody algebras
R. Venkatesh, Sankaran Viswanath
We give a new interpretation of the chromatic polynomial of a simple graph G in terms of the Kac-Moody Lie algebra with Dynkin diagram G. We show that the chromatic polynomial is e…
math.RT2013
The -analogs of string functions for and Hecke indefinite modular forms
Sachin S. Sharma, Sankaran Viswanath
We study generating functions for Lusztig's -analog of weight multiplicities associated to integrable highest weight representations of the simplest affine Lie algebra $A_1^{(1)…